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329011897824 = 25322939393187
BaseRepresentation
bin1001100100110101010…
…00110010010111100000
31011110020101221010202100
410302122220302113200
520342304021212244
6411051310450400
732525135663001
oct4623250622740
91143211833670
10329011897824
11117595703565
1253921503a00
132504459115c
1411cd22591a8
1588596a6b69
hex4c9aa325e0

329011897824 has 72 divisors (see below), whose sum is σ = 967890629160. Its totient is φ = 105888883968.

The previous prime is 329011897813. The next prime is 329011897859. The reversal of 329011897824 is 428798110923.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19688242 + ... + 19704945.

It is an arithmetic number, because the mean of its divisors is an integer number (13442925405).

Almost surely, 2329011897824 is an apocalyptic number.

It is an amenable number.

329011897824 is an abundant number, since it is smaller than the sum of its proper divisors (638878731336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329011897824 is a wasteful number, since it uses less digits than its factorization.

329011897824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39393232 (or 39393221 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 329011897824 in words is "three hundred twenty-nine billion, eleven million, eight hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 39393187 78786374 118179561 157572748 236359122 315145496 354538683 472718244 630290992 709077366 945436488 1142402423 1260581984 1418154732 1890872976 2284804846 2836309464 3427207269 3781745952 4569609692 5672618928 6854414538 9139219384 10281621807 11345237856 13708829076 18278438768 20563243614 27417658152 36556877536 41126487228 54835316304 82252974456 109670632608 164505948912 329011897824